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 A079937 Greedy frac multiples of Pi^2/6: a(1)=1, Sum_{n>=1} frac(a(n)*x) = 1 at x = Pi^2/6. 5
 1, 2, 14, 45, 107, 138, 276, 414, 1135, 2270, 6672, 12209, 18881, 180865 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,2 COMMENTS The n-th greedy frac multiple of x is the smallest integer that does not cause Sum_{k=1..n} frac(a(k)*x) to exceed unity; an infinite number of terms appear as the denominators of the convergents to the continued fraction of x. LINKS EXAMPLE a(4) = 45 since frac(1*x) + frac(2*x) + frac(14*x) + frac(45*x) < 1, while frac(1*x) + frac(2*x) + frac(14*x) + frac(k*x) > 1 for all k > 14 and k < 45. CROSSREFS Cf. A080017 (denominators of convergents to Pi^2/6), A079934, A079938, A079939. Sequence in context: A231247 A318764 A036659 * A324915 A281760 A197885 Adjacent sequences:  A079934 A079935 A079936 * A079938 A079939 A079940 KEYWORD nonn,more,changed AUTHOR Benoit Cloitre and Paul D. Hanna, Jan 21 2003 STATUS approved

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Last modified April 23 05:42 EDT 2021. Contains 343199 sequences. (Running on oeis4.)